1 sf: Challenge & Extension

Mathematics
Year 9
15 questions
~30 mins
1 views0 downloads

About This Worksheet

A worksheet designed to challenge Year 9 students on understanding and applying rounding to 1 significant figure, including real-world and extension problems.

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1 sf: Challenge & Extension

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Introduction

Read the key concept below before attempting the questions.
1.
Rounding to 1 significant figure involves identifying the first non-zero digit and rounding the number to that digit. For example, 0.0456 rounded to 1 sf is 0.05.
[2 marks]
B

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
Round 7,890 to 1 significant figure.
[1 mark]
2.
Round 0.004567 to 1 significant figure.
[1 mark]
3.
Round 123.456 to 1 significant figure.
[1 mark]
4.
Round 56.78 to 1 significant figure.
[1 mark]
C

Targeted Practice

Answer the following questions that involve more complex calculations and reasoning.
1.
A scientist measures a sample weight of 0.00789 kg. Round this to 1 significant figure for reporting.
[2 marks]
2.
A building project estimates the cost as £124,000. Round this to 1 significant figure for an approximation.
[2 marks]
3.
In a physics experiment, the speed is recorded as 299,792,458 m/s. Round to 1 significant figure.
[2 marks]
4.
A bank account balance shows $45,678. Round to 1 significant figure for a rough estimate.
[2 marks]
D

Real-world Applications

Solve these contextual word problems involving rounding to 1 significant figure.
1.
A car travels approximately 12,345 km in a year. Round this distance to 1 significant figure to estimate the travel distance.
[3 marks]
2.
An athlete's height is 1.987 meters. Round to 1 significant figure for a quick reference.
[2 marks]
E

Challenge & Extension

Attempt these challenging questions that require multi-step reasoning and application.
1.
A company reports a revenue of $3,456,789. Round to 1 significant figure and explain why this is useful for quick comparisons.
[4 marks]
2.
Estimate the total number of stars in the galaxy as 100,000,000,000. Round to 1 significant figure and justify your estimate.
[3 marks]
F

Mixed Review & Error Analysis

Answer the following questions, including identifying common mistakes and correcting them.
1.
A student rounds 0.05678 to 1 significant figure as 0.06. Is this correct? Explain your answer.
[3 marks]
2.
The number 9876 is rounded to 1 sf as 10000. Is this accurate? Why or why not?
[3 marks]

Quick Actions

What is Remix?

Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.

  • • Change grade level (Grade 6 → Grade 7)
  • • Swap topics (Harry Potter → Macbeth)
  • • Add more questions (10 → 15)
  • • Adjust difficulty

Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet